Entanglement can be regarded as the characteristic trait of quantum mechanics, recalling
Schrödinger [1]}, which makes it to play a central role, as
an essential resource, in the implementation and development of modern quantum technologies
[2]}, [3]}.
The capability to transfer information at long distances between two entangled parties without
a physical interaction mediating between them [1]}, [5]}
sets a crucial difference with respect to two classically correlated systems, where
information transmission necessarily requires the active action of physical interactions.
This is consistent with the common statement that there is no classical analog for entanglement.
However, this seems in contradiction with the fact that, by virtue of the correspondence
principle, classical mechanics should approximate in one way or another quantum mechanics, or,
at least, to manifest in some form.
Thus, despite the uniqueness of entanglement as a genuine quantum trait, some relationships
between the classically chaotic dynamics exhibited by nonlinear systems and entanglement have
been found and reported in the literature.
For instance, it has been found that the amount of entanglement increases in rates proportional
to the corresponding Lyapunov exponents
[6]}, [7]}, [8]}, [9]}.
Indeed, this trend has also been considered the other way around, i.e., using the increase
of entanglement as a signature of quantum chaos [6]}.
